Multiobjective programming under d-invexity

被引：34
|
作者：
Antczak, T [1 ]
机构：
[1] Univ Lodz, Fac Math, PL-90238 Lodz, Poland
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2002年 / 137卷 / 01期
关键词：
multiobjective programming; (weak) Pareto optimal solution; d-invex function with respect to eta; optimality conditions; duality;
D O I：
10.1016/S0377-2217(01)00092-3
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, a generalization of convexity is considered in the case of nonlinear multiobjective programming problem where the functions involved are nondifferentiable. By considering the concept of Pareto optimal solution and substituting d-invexity for convexity, the Fritz John type and Karush-Kuhn-Tucker type necessary optimality conditions and duality in the sense of Mond-Weir and Wolfe for nondifferentiable multiobjective programming are given. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：28 / 36
页数：9
相关论文
共 50 条
  • [1] Optimality and Duality in Nondifferentiable and Multiobjective Programming under Generalized d-Invexity
    S.K. Mishra
    S.Y. Wang
    K.K. Lai
    Journal of Global Optimization, 2004, 29 : 425 - 438
  • [2] Optimality and duality in nondifferentiable and multiobjective programming under generalized d-Invexity
    Mishra, SK
    Wang, SY
    Lai, KK
    JOURNAL OF GLOBAL OPTIMIZATION, 2004, 29 (04) : 425 - 438
  • [3] Optimality in interval fractional programming problems using d-invexity
    Pokharna, N.
    Tripathi, I. P.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2025, 22 (01): : 71 - 91
  • [4] D-INVEXITY AND OPTIMALITY CONDITIONS
    YE, YL
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (01) : 242 - 249
  • [5] Multiobjective fractional programming under generalized invexity
    Mukherjee, RN
    Rao, CP
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1996, 27 (12): : 1175 - 1183
  • [6] Sufficiency and Duality for Multiobjective Programming under New Invexity
    Zheng, Yingchun
    Gao, Xiaoyan
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
  • [7] Multiobjective programming under generalized type I invexity
    Hanson, MA
    Pini, R
    Singh, C
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 261 (02) : 562 - 577
  • [8] Nondifferentiable multiobjective programming under generalized dl-invexity
    Slimani, Hachem
    Radjef, Mohammed Said
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 202 (01) : 32 - 41
  • [9] Multiobjective Programming under Nondifferentiable G-V-Invexity
    Antczak, Tadeusz
    FILOMAT, 2016, 30 (11) : 2909 - 2923
  • [10] Nonsmooth ρ - (η, θ)-invexity in multiobjective programming problems
    Nahak, C.
    Mohapatra, Ram N.
    OPTIMIZATION LETTERS, 2012, 6 (02) : 253 - 260
12345